یک مدل رتبه بندی جدید برای مسائل تصمیم گیری گروهی چند شاخصه با داده های فازی شهودی

محورهای موضوعی : آمار

زینب اسلامی نسب ¹ , علی حمزه ای ²

1 - گروه ریاضی کاربردی، دانشگاه آزاد اسلامی، واحد کرمان، کرمان، ایران
2 - گروه ریاضی کاربردی، دانشگاه آزاد اسلامی، واحد کرمان، کرمان، ایران

تاریخ دریافت : 1398/04/19 تاریخ پذیرش : 1398/09/30 تاریخ انتشار : 1400/05/01

کلید واژه: Weight of attributes, Ranking, Linear Programming, Fuzzy intuitionistic number,

چکیده مقاله :

در جهان امروز پیچیدگی ذاتی بسیاری از محیط های تصمیم گیری، ضرورت استفاده از روش های تصمیم گیری را بیش از پیش مشخص می کند. از طرفی سازمان های مدرن امروزی چنان وسیع و پیچیده شده اند که یک نفر از عهده مدیریت آنها بر نمی آید. لذا موضوع تصمیم گیری گروهی چند شاخصه به عنوان یک مسأله سازمانی مورد بررسی قرار می گیرد. در مدل های تصمیم گیری گروهی چند شاخصه با توجه به اینکه ماتریس تصمیم دارای شاخص های مختلفی می باشد، دانستن ضریب اهمیت یا وزن هر یک از شاخص ها در تصمیم گیری ضروری است. به طوریکه وزن هر شاخص اهمیت نسبی آن را نسبت به شاخص های دیگر بیان می کند و انتخاب آگاهانه و صحیح وزن ها کمک بزرگی در جهت رسیدن به هدف مورد نظر است. هدف از ارائه این مقاله، معرفی یک مدل برنامه ریزی خطی جهت تعیین وزن هر یک از شاخص ها در مسائل تصمیم گیری گروهی چند شاخصه با داده های فازی شهودی می باشد. لذا از خطای احتمالی تصمیم گیرندگان در تعیین وزن شاخص ها جلوگیری به عمل می آید در نهایت با استفاده از وزن های بدست آمده، یک روش جدید جهت رتبه بندی گزینه ها بر اساس روش تسلط تقریبی (الکتره3) معرفی شده است و یک مثال کاربردی عددی برای نشان دادن جزئیات روش پیشنهادی در نظر گرفته شده است.

چکیده انگلیسی:

In today’s world, intrinsic complexity in numerous decision making conditions, decides the need of utilizing decision making methods more than previously. On the other hand, the present modern organization have turned out to be so widespread, which one doesn’t capable to oversee them. In this manner, this issue of multi attribute group decision making is considered as an organizational problem. In multi attribute group decision making problems, according to the different attributes in decision matrix, knowing the coefficient of importance or weight of each attribute in decision making is essential. As the weight of each attribute express its relative importance to the others and the conscious and correct selection of weights is a great help in achieving the desired goal. The purpose of this paper is to introduce a linear programming model to determine the weight of each attribute in multi attribute group decision making problems with intuitionistic fuzzy data. As good as, decision makers are prevented from making eventual mistakes in determining the weight of attributes. Finally, using the obtained weights, a new method for ranking the alternatives based on ELECTRE III method, is presented. A numerical applied example is provided to illustrate the details of the proposed method.

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